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Let one side be x+3 and the other side be x:

1/2*(x+3+x)*9 = 40.5

Multiply both sides by 2:

(x+3+x)*9 = 81

9x+27+9x = 81

18x+27 = 81

Subtract 27 from both sides:

18x = 54

Divide both sides by 18:

x = 3

Therefore the parallels are 3 cm and 6 cm respectively.

Check: 1/2*(6+3)*9 = 40.5 square cm

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